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Finding the Fourth Proportional to 534,802.90, 801,815.55 and 219,097.30

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Solution

The fourth proportional to 534,802.90, 801,815.55 and 219,097.30 is: 328,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,802.90 : 801,815.55 = 219,097.30 : x
  2. Step 2: Convert to fraction form
    534,802.90/801,815.55 = 219,097.30/x
  3. Step 3: Cross multiply
    534,802.90x = 801,815.55 × 219,097.30
  4. Step 4: Simplify right side
    534,802.90x = 175,675,622,103.02
  5. Step 5: Solve for x
    x = 175,675,622,103.02/534,802.90
  6. Step 6: Final answer
    x = 328,486.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.